Advances in understanding basic developmental and physiological processes often have direct relevance to human disease. They provide insights into pathogenic mechanisms and reveal new pathways that can be exploited in diagnosis and the development of therapeutics.

In this chapter we introduce some of the properties of surfaces and their samples in three dimensions. The results developed in this chapter are used in later chapters to design algorithms for surface reconstruction and prove their guarantees. Before we talk about these results, let us explain what we mean by smooth surfaces. Consider a map π : U → V where U and V are the open sets in R2 and R3...

• Availability refers to a system’s readiness for usage: if the Google search engine answers my queries every time I submit a request, then I can say it is highly available. Note that availability says nothing about the system when you are not asking it for service: if google.comwas unreachable whenever nobody accessed the search engine, it would make no difference with regards to availability,...

The most common symptoms of meningitis are headache and neck stiffness associated with fever, confusion or altered consciousness, vomiting, and photophobia or phonophobia. Sometimes, especially in small children, only nonspecific symptoms may be present, such as irritability and drowsiness. If a rash is present, it may indicate a particular cause of meningitis; for instance, meningitis caused b...

0. Introduction; notation This paper lists the essential facts about the representation of polynomials in m variables as Bernstein polynomials. An expanded version may appear elsewhere. While univariate Bernstein polynomials are well studied see, e.g., Lorentz’ classical book Lorentz (1953), the multivariate version has only attracted attention sporadically. Lorentz’ book devotes just one page ...